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01 Feb 2013, 22:08
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All of the best comedians have had unhappy childhoods. Yet, many people who have had happy childhoods are good comedians, and some good comedians who have had miserably unhappy childhoods are happy adults.
If the statements in the passage are true, which one of the following CANNOT be true?
(A) The proportion of good comedians who had unhappy childhoods is greater than the proportion of the best comedians who did.
(B) Some good comedians have had unhappy childhoods and are unhappy adults.
(C) Most of the best comedians are happy adults.
(D) More good comedians have had unhappy childhoods than have had happy childhoods.
(E) The proportion of comedians who are happy adults is higher than the proportions who are unhappy adults.
If the statements in the passage are true, which one of the following CANNOT be true?
(A) The proportion of good comedians who had unhappy childhoods is greater than the proportion of the best comedians who did.
(B) Some good comedians have had unhappy childhoods and are unhappy adults.
(C) Most of the best comedians are happy adults.
(D) More good comedians have had unhappy childhoods than have had happy childhoods.
(E) The proportion of comedians who are happy adults is higher than the proportions who are unhappy adults.
02 Feb 2013, 01:18
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We are asked for the statement with CANNOT be true, i.e. which is definitely false.
Consider A first.
What is the proportion of the best comedians who had unhappy childhoods? Right from the first statement, it is 1 (or 100%). The next line then tells us that some good comedians also had unhappy childhoods. Therefore it follows that not all good comedians had unhappy childhoods. Therefore this proportion is certainly less than 1. This is therefore the right option.
(A) it is.
Consider A first.
What is the proportion of the best comedians who had unhappy childhoods? Right from the first statement, it is 1 (or 100%). The next line then tells us that some good comedians also had unhappy childhoods. Therefore it follows that not all good comedians had unhappy childhoods. Therefore this proportion is certainly less than 1. This is therefore the right option.
(A) it is.
08 Oct 2014, 19:22
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p2bhokie
Hello p2bhokie
We have:
Fact #1: All of the best comedians have had unhappy childhoods.
Fact #2: Many people who have had happy childhoods are good comedians,
Fact #3: Some good comedians who have had miserably unhappy childhoods are happy adults.
If the statements in the passage are true, which one of the following CANNOT be true?
(A) The proportion of good comedians who had unhappy childhoods is greater than the proportion of the best comedians who did.
Correct.
Fact #1 says "ALL the best comedians have had unhappy childhoods" ==> The proportion = 100% (because of "all").
Fact #2 says "Many comedians have had happy childhoods" --> There are still some comedians have had unhappy childhoods. Two sets combined make up 100% ==> The sub set MUST be < 100%
Thus, A CAN'T be correct.
(B) Some good comedians have had unhappy childhoods and are unhappy adults.
Wrong. Yes, B can be true. Fact #3 says "some good comedians who have had unhappy childhoods are happy adults" ==> Absolutely, there are still some comedians who have had unhappy childhoods are unhappy adults.
(C) Most of the best comedians are happy adults.
Wrong. Yes, C can be true. It is possible that a group of best comedians is the sub set of a group of good comedians. Deduce from fact #3, C can be true.
(D) More good comedians have had unhappy childhoods than have had happy childhoods.
Wrong. From fact #2, because we don't know how many "some" is, we can assume that we have 100 good comedians, 60 have had unhappy childhoods, 40 have had happy childhoods. D can be true.
(E) The proportion of comedians who are happy adults is higher than the proportions who are unhappy adults.
Wrong. From fact #3, because we don't know how many "some" is, we can assume that we have 100 comedians, 60 are happy adults, 40 are unhappy adults. Clearly, E can be true.
Hope it helps.
